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@article{IVM_1999_6_a7,
author = {I. V. Nepomnyaschih and A. V. Ponosov},
title = {Local operators in some subspaces of the space~$L_0$},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {50--64},
publisher = {mathdoc},
number = {6},
year = {1999},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_1999_6_a7/}
}
I. V. Nepomnyaschih; A. V. Ponosov. Local operators in some subspaces of the space~$L_0$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (1999), pp. 50-64. http://geodesic.mathdoc.fr/item/IVM_1999_6_a7/
[1] Shragin I. V., “Abstraktnye operatory Nemytskogo — lokalno opredelennye operatory”, DAN SSSR, 227:1 (1976), 47–49 | MR | Zbl
[2] Karták K., “A generalization of the Carathéodory of differential equations”, Czechosl. Math. J., 17:4 (1967), 482–514 | MR
[3] Vrkoc̆ I., “The representation of Carathéodory operators”, Czechosl. Math. J., 19:1 (1969), 99–109 | MR | Zbl
[4] Ponosov A. V., Operatory Karateodori i operatory Nemytskogo, Dep. v VINITI 18.07.84, No 5141-84, Permsk. un-t, Perm, 1984, 18 pp. | MR | Zbl
[5] Ponosov A. V., “K teorii lokalno opredelennykh operatorov”, Funkts.-differents. uravneniya, Perm, 1985, 72–82 | MR | Zbl
[6] Ponosov A. V., “O gipoteze Nemytskogo”, DAN SSSR, 289:6 (1986), 1308–1311 | MR
[7] Appell J., “The superposition operator in function spaces — A survey”, Expos. Math., 6:3 (1988), 209–270 | MR | Zbl
[8] Appell J., Zabrejko P. P., Nonlinear superposition operators, Cambr. Univ. Press, Cambridge, 1990, 312 pp. | MR
[9] Krasnoselskii M. A., Topologicheskie metody v teorii nelineinykh integralnykh uravnenii, Gostekhizdat, M., 1956, 392 pp. | MR
[10] Vainberg M. M., Variatsionnye metody issledovaniya nelineinykh operatorov, Gostekhizdat, M., 1956, 344 pp.
[11] Krasnoselskii M. A., Zabreiko P. P., Pustylnik E. I., Sobolevskii P. E., Integralnye operatory v prostranstvakh summiruemykh funktsii, Nauka, M., 1966, 499 pp. | MR
[12] Shragin I. V., “Usloviya izmerimosti superpozitsii”, DAN SSSR, 197:2 (1971), 295–298 | Zbl
[13] Shragin I. V., “Superpozitsionnaya izmerimost”, Izv. vuzov. Matematika, 1975, no. 1, 82–92 | Zbl
[14] Krasnoselskii M. A., Pokrovskii A. V., “O razryvnom operatore superpozitsii”, UMN, 32:1 (1977), 169–170 | MR
[15] Shragin I. V., “Neobkhodimost uslovii Karateodori dlya nepreryvnosti operatora Nemytskogo”, Funkts.-differents. uravneniya i kraev. zadachi matem. fiziki, Perm, 1978, 128–134
[16] Shragin I. V., “Lokalno opredelennye operatory i gipoteza Nemytskogo”, Funkts.-differents. uravneniya, Perm, 1991, 95–101 | MR
[17] Krasnoselskii M. A., Pokrovskii A. V., Sistemy s gisterezisom, Nauka, M., 1993, 272 pp. | MR
[18] Shragin I. V., “Klassy izmerimykh vektor-funktsii i operator Nemytskogo, I”, Izv. vuzov. Matematika, 1994, no. 4, 48–58 | MR | Zbl
[19] Shragin I. V., “Klassy izmerimykh vektor-funktsii i operator Nemytskogo, II”, Izv. vuzov. Matematika, 1994, no. 5, 70–79 | MR | Zbl
[20] Shragin I. V., “On representation of a locally defined operator in the form of the Nemytskii operator”, Funct. Different. Equat. Israel Seminar, 1996, no. 3–4, 447–452 | MR | Zbl
[21] Shragin I. V., Nepomnyaschikh Yu. V., “$D$-usloviya Karateodori i ikh svyaz s $D$-nepreryvnostyu operatora Nemytskogo”, Izv. vuzov. Matematika, 1997, no. 6, 70–82 | MR | Zbl
[22] Ponosov A. V., “Teorema o nepodvizhnoi tochke dlya lokalno opredelennykh operatorov”, Kraev. zadachi, Perm, 1985, 125–128 | Zbl
[23] Ponosov A. V., “Metod nepodvizhnoi tochki v teorii stokhasticheskikh differentsialnykh uravnenii”, DAN SSSR, 299:3 (1988), 562–565 | MR | Zbl
[24] Ponosov A. V., “K teorii privodimykh funktsionalno-differentsialnykh uravnenii Ito”, Differents. uravneniya, 25:11 (1989), 1915–1925 | MR
[25] Drakhlin M. E., “Ob odnom lineinom funktsionalnom uravnenii”, Funkts.-differents. uravneniya, Perm, 1985, 91–111 | MR | Zbl
[26] Azbelev N. V., Maksimov V. P., Rakhmatullina L. F., Vvedenie v teoriyu funktsionalno-differentsialnykh uravnenii, Nauka, M., 1991, 280 pp. | MR | Zbl
[27] Azbelev N. V., “The ideas and methods of the Perm Seminar on boundary value problems”, Boundary Value Problems for Functional Different. Equat., World Scientific Publishing, Singapore, 1995, 13–22 | MR | Zbl
[28] Kharazishvili A. B., Prilozheniya teorii mnozhestv, Izd-vo Tbilis. un-ta, Tbilisi, 1989, 143 pp. | MR | Zbl
[29] Vladimirov D. A., Bulevy algebry, Nauka, M., 1969, 318 pp. | MR
[30] Khalmosh P. R., Teoriya mery, In. lit., M., 1953, 292 pp. | MR
[31] Aleksandrov P. S., Vvedenie v teoriyu mnozhestv i obschuyu topologiyu, Ucheb. posobie, Nauka, M., 1977, 368 pp. | MR
[32] Rokhlin V. A., “Ob osnovnykh ponyatiyakh teorii mery”, Matem. sb., 25:1 (1949), 107–150 | Zbl
[33] Samorodnitskii A. A., Teoriya mery, Izd-vo LGU, L., 1990, 267 pp. | MR
[34] Partasarati K., Vvedenie v teoriyu veroyatnostei i teoriyu mery, Mir, M., 1983, 343 pp. | MR